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Finding the Fourth Proportional to 1,626.35, 2,439.39 and 586.16

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Solution

The fourth proportional to 1,626.35, 2,439.39 and 586.16 is: 879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.35 : 2,439.39 = 586.16 : x
  2. Step 2: Convert to fraction form
    1,626.35/2,439.39 = 586.16/x
  3. Step 3: Cross multiply
    1,626.35x = 2,439.39 × 586.16
  4. Step 4: Simplify right side
    1,626.35x = 1,429,872.84
  5. Step 5: Solve for x
    x = 1,429,872.84/1,626.35
  6. Step 6: Final answer
    x = 879.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.